Excluding regular route passenger stops, the speed of an express coach is 64 km/h and including stops it is 48 km/h. For how many minutes does the coach stop per hour? MCQ with Answer and Explanation
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Question #1
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A person can row 10 km/h in still water. If it takes him exactly twice as long to row upstream as to row downstream over the same stretch, find the speed of the current.
Correct Answer: Option A
Explanation:
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
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Maths
Time Speed and Distance
Question #2
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The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed.
Correct Answer: Option A
Explanation:
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.
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Maths
Time Speed and Distance
Question #3
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A sound wave covers a distance of 1.36 km in 4 seconds. Find the speed of sound in m/s.
Correct Answer: Option C
Explanation:
Distance = 1.36 km = 1360 meters. Speed = Distance / Time = 1360 / 4 = 340 m/s.
Distance = 1.36 km = 1360 meters. Speed = Distance / Time = 1360 / 4 = 340 m/s.
This question belongs to:
Maths
Time Speed and Distance
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